4(x-7)=5(x+12)

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Solution for 4(x-7)=5(x+12) equation:


Simplifying
4(x + -7) = 5(x + 12)

Reorder the terms:
4(-7 + x) = 5(x + 12)
(-7 * 4 + x * 4) = 5(x + 12)
(-28 + 4x) = 5(x + 12)

Reorder the terms:
-28 + 4x = 5(12 + x)
-28 + 4x = (12 * 5 + x * 5)
-28 + 4x = (60 + 5x)

Solving
-28 + 4x = 60 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-28 + 4x + -5x = 60 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-28 + -1x = 60 + 5x + -5x

Combine like terms: 5x + -5x = 0
-28 + -1x = 60 + 0
-28 + -1x = 60

Add '28' to each side of the equation.
-28 + 28 + -1x = 60 + 28

Combine like terms: -28 + 28 = 0
0 + -1x = 60 + 28
-1x = 60 + 28

Combine like terms: 60 + 28 = 88
-1x = 88

Divide each side by '-1'.
x = -88

Simplifying
x = -88

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